Students identify which shape has exactly 4 lines of symmetry, confirm that perpendicular lines form 90°, and determine how many lines of symmetry a general parallelogram has. Part B has five fill-in-the-blank problems about reflected shapes being congruent, lines of symmetry in a regular heptagon, and right angles formed by a perpendicular transversal.
General parallelogram symmetry and heptagon counting challenge students to apply symmetry principles beyond familiar shapes.
Style:
Lines and Symmetry
Part A: Multiple Choice
Circle the best answer for each question.
1. Which shape has exactly 4 lines of symmetry?
A) Rectangle
B) Rhombus
C) Square
D) Trapezoid
2. What angle do perpendicular lines form?
A) 45°
B) 60°
C) 90°
D) 180°
3. How many lines of symmetry does a parallelogram that is not a rectangle or rhombus have?
A) 0
B) 1
C) 2
D) 4
4. A regular polygon has 10 sides. How many lines of symmetry does it have?
A) 5
B) 8
C) 10
D) 20
Part B: Fill in the Blank
Write the correct answer on each line.
1. A shape and its reflection across a line of symmetry are identical.
2. A regular heptagon has 7 lines of symmetry.
3. Two parallel lines cut by a perpendicular line form 4 right angles.
4. The number of lines of symmetry in a regular polygon equals the number of its sides.
5. A kite has 1 line(s) of symmetry.
Lines and Symmetry
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which shape has exactly 4 lines of symmetry?
A) Rectangle
B) Rhombus
C) Square
D) Trapezoid
2. What angle do perpendicular lines form?
A) 45°
B) 60°
C) 90°
D) 180°
3. How many lines of symmetry does a parallelogram that is not a rectangle or rhombus have?
A) 0
B) 1
C) 2
D) 4
4. A regular polygon has 10 sides. How many lines of symmetry does it have?
A) 5
B) 8
C) 10
D) 20
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) A shape and its reflection across a line of symmetry are identical.
2) A regular heptagon has 7 lines of symmetry.
3) Two parallel lines cut by a perpendicular line form 4 right angles.
4) The number of lines of symmetry in a regular polygon equals the number of its sides.
5) A kite has 1 line(s) of symmetry.
Ready to Practice?
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9 Questions
12-18 minutes
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